Answer:
The slope is -1.
Step-by-step explanation:
We want to find the slope of the line that is parallel to the line joining the points (7, -5) and (-5, 7).
First, we can use the slope formula to find the line passing through (7, -5) and (-5, 7). The slope formula is:
Substitute and evaluate:
So, its slope is -1.
Recall that parallel lines have the same slope.
Therefore, the slope of the line that is parallel to the line joining the points (7, -5) and (-5, 7) will also be -1.
Subtract 6 from each side. Then you have an absolute value equal to -6. But an absolute value is never negative. So there is no solution.
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Wherever you see an x in the equation, simply sub in 1.
f(1) = 2(1)² - 2 - 10
= 2 - 2 - 10
= -10
Therefore, the answer is -10.
Answer:
There are 9 possible thousands digits, because 0 cannot be the leading digit.
There are 2 possible ones digits, 0 and 5.
If the ones digit is 5:
There are 5 possible thousands digits: 1, 2, 3, and 4.For each possible thousands digit, there are 5 possible hundreds digits. (We used one of the digits above to be the thousands digit, but 0 is a possible hundreds digit.)For each possible pair of thousands-and-hundreds digits, there are 4 possible tens digits.
So there are 5 x 5 x 4 = 100 possible 4-digit numbers that end in 5 with no repeated digit and no digit larger than 5.
If the ones digit is 0:
There are 5 possible thousands digits.For each possible thousands digit, there are 4 possible hundreds digits.For each possible pair of thousands-and-hundreds digits, there are 6 possible tens digits.
So there are 5 x 4 x 6 = 120 possible 4-digit numbers that end in 0 with no repeated digit and no digit larger than 5.
100+120=220
Answer: 220 possible numbers.